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Finding the Fourth Proportional to 289,198.26, 399,108.87 and 181,728.54

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Solution

The fourth proportional to 289,198.26, 399,108.87 and 181,728.54 is: 250,794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,198.26 : 399,108.87 = 181,728.54 : x
  2. Step 2: Convert to fraction form
    289,198.26/399,108.87 = 181,728.54/x
  3. Step 3: Cross multiply
    289,198.26x = 399,108.87 × 181,728.54
  4. Step 4: Simplify right side
    289,198.26x = 72,529,472,246.15
  5. Step 5: Solve for x
    x = 72,529,472,246.15/289,198.26
  6. Step 6: Final answer
    x = 250,794.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.